{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "% matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.io\n",
    "import matplotlib.pyplot as plt\n",
    "from skimage.feature import hog"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "class neural_network():\n",
    "    \n",
    "    def __init__(self, layer_sizes=[784, 200, 26], step_size=0.1):\n",
    "        self.layer_sizes = layer_sizes \n",
    "        self.step_size=step_size #??\n",
    "        # support classical 3-layer network only\n",
    "        self.V = np.random.normal(loc=0, scale=1/np.sqrt(layer_sizes[0]+1), size=(layer_sizes[1], layer_sizes[0]+1))\n",
    "        self.W = np.random.normal(loc=0, scale=1/np.sqrt(layer_sizes[1]+1), size=(layer_sizes[2], layer_sizes[1]+1))\n",
    "        \n",
    "    # activation function: tanh\n",
    "    def tanh(self, x):\n",
    "        x = np.minimum(500, x)\n",
    "        x = np.maximum(-500, x)\n",
    "        a = np.exp(x)\n",
    "        b = np.exp(-x)\n",
    "        return (a-b)/(a+b)\n",
    "    \n",
    "    # derivative of tanh function\n",
    "    def tanh_d(self, x):\n",
    "        t = self.tanh(x)\n",
    "        return 1 - np.multiply(t, t)\n",
    "    \n",
    "    # activation function: sigmoid\n",
    "    def sigmoid(self, x):\n",
    "        return 1/(1+np.exp(-x))\n",
    "    \n",
    "    # derivative of sigmoid function\n",
    "    def sigmoid_d(self, x):\n",
    "        s = self.sigmoid(x)\n",
    "        return np.multiply(s, 1-s)\n",
    "    \n",
    "    # activation function: ReLU\n",
    "    def relu(self, x):\n",
    "        return np.maximum(0, x)\n",
    "    \n",
    "    # derivative of ReLU function\n",
    "    def relu_d(self, x):\n",
    "        return (x>0).astype(float)\n",
    "    \n",
    "    # activation function: softmax\n",
    "    def softmax(self, x):\n",
    "        e = np.exp(x)\n",
    "        return e / np.sum(e)\n",
    "    \n",
    "    # loss function: cross-entropy\n",
    "    def cross_entropy(self, z, y):\n",
    "        return -np.sum(np.multiply(y, np.log(z+1e-20)) + np.multiply((1-y), np.log(1-z+1e-20)))\n",
    "    \n",
    "    # derivative of cross-entropy loss function\n",
    "    def cross_entropy_d(self, z, y):\n",
    "        return -np.divide(y, z+1e-20) + np.divide((1-y), (1-z+1e-20))\n",
    "    \n",
    "    # calcluate h = s(Vx) and z = s(Wh), aka forward propagation\n",
    "    def forward_prop(self, x):\n",
    "        x1 = np.append(x, 1) # 1 at the end\n",
    "        h = self.sigmoid(self.V.dot(x1)) # tanh for hidden layer\n",
    "        h1 = np.append(h, 1) # 1 at the end\n",
    "        z = self.sigmoid(self.W.dot(h1)) # sigmoid for output layer\n",
    "        return x1, h1, z\n",
    "        \n",
    "    # calculate the gradient of weight matrices, aka backward propagation\n",
    "    def backward_prop(self, x1, h1, z, y):\n",
    "        dLdz = self.cross_entropy_d(z, y)\n",
    "        s2d = self.sigmoid_d(self.W.dot(h1))\n",
    "        # the gradient of W\n",
    "        dW = np.outer(np.multiply(dLdz, s2d), h1)\n",
    "        \n",
    "        s1d = self.sigmoid_d(self.V.dot(x1))\n",
    "        dLdh1 = np.sum(np.dot(np.diag(np.multiply(dLdz, s2d)), self.W), axis=0)\n",
    "        dLdh = dLdh1[:-1] # don't include the 1\n",
    "        # the gradient of V\n",
    "        dV = np.outer(np.multiply(dLdh, s1d), x1)\n",
    "        return dV, dW\n",
    "    \n",
    "    # vectorize data label\n",
    "    def vectorize_y(self, y):\n",
    "        M = np.max(y)\n",
    "        N = len(y)\n",
    "        yv = np.zeros([N, M])\n",
    "        for i in range(N):\n",
    "            yv[i, y[i]-1] = 1\n",
    "        return yv\n",
    "    \n",
    "    # transform vectorized y back to labels\n",
    "    def labelize_y(self, y):\n",
    "        return np.argmax(y, axis=1) + 1\n",
    "        \n",
    "    # train NN using stochastic gradient descent\n",
    "    # X: Nxd data matrix\n",
    "    # y: Nx1 data label, range 1~26\n",
    "    def train_sgd(self, X, y, N_epoch=10):\n",
    "        all_loss = []\n",
    "        yv = self.vectorize_y(y)\n",
    "        for epoch in range(0, N_epoch):\n",
    "            print('epoch #%d' % epoch)\n",
    "            for i in range(X.shape[0]):\n",
    "                xr = X[i, :]\n",
    "                yr = yv[i, :]\n",
    "                # FP\n",
    "                x1, h1, z = self.forward_prop(xr)\n",
    "                # BP\n",
    "                dV, dW = self.backward_prop(x1, h1, z, yr)\n",
    "                # GD\n",
    "                self.V -= self.step_size * dV\n",
    "                self.W -= self.step_size * dW\n",
    "            print('  Training Accuracy: %f' % self.accuracy(X, y))\n",
    "            all_loss.append(self.loss(X, yv))\n",
    "        return all_loss\n",
    "    \n",
    "    def predict(self, X):\n",
    "        z = np.zeros([len(X), len(self.W)])\n",
    "        for i, x in enumerate(X):\n",
    "            _, _, z[i, :] = self.forward_prop(x)\n",
    "        z = np.argmax(z, axis=1) + 1\n",
    "        return z\n",
    "        \n",
    "    def accuracy(self, X, y):\n",
    "        z = self.predict(X)\n",
    "        N = len(y)\n",
    "        return np.sum(z == y) / float(N)\n",
    "    \n",
    "    def loss(self, X, y):\n",
    "        loss = 0\n",
    "        z = np.zeros([len(X), len(self.W)])\n",
    "        for i, x in enumerate(X):\n",
    "            _, _, z[i, :] = self.forward_prop(x)\n",
    "        for i in range(len(z)):\n",
    "            yi = y[i, :]\n",
    "            zi = z[i, :]\n",
    "            loss += self.cross_entropy(zi, yi)\n",
    "        return loss / len(z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## letters data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def center_data(X, mean=None, std=None):\n",
    "    if mean is None or std is None:\n",
    "        mean = np.mean(X, axis=0)\n",
    "        std = np.std(X, axis=0) + 1e-10\n",
    "    X = (X - mean) / std.T\n",
    "    return X, mean, std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def view_image(data_row):\n",
    "    plt.imshow(data_row.reshape([28,28]))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# function that calculates the HOG feature\n",
    "def hog_feature(data):\n",
    "    data_hog = np.zeros(data.shape)\n",
    "    for i in range(0, len(data)):\n",
    "        if i % 1000 == 0:\n",
    "            print(i)\n",
    "        feature = data[i, :]\n",
    "        image = feature.reshape(28, 28)\n",
    "        fd, hog_image = hog(image, orientations=8, pixels_per_cell=(4, 4), cells_per_block=(1, 1), visualise=True)\n",
    "        data_hog[i, :] = hog_image.ravel()\n",
    "    return data_hog"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "data_name = './data/letters_data.mat'\n",
    "data = scipy.io.loadmat(data_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "train_X = data['train_x']\n",
    "train_y = data['train_y'].ravel()\n",
    "test_X = data['test_x']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "idx = np.arange(len(train_y))\n",
    "np.random.shuffle(idx)\n",
    "train_X = train_X[idx, :]\n",
    "train_y = train_y[idx]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# original feature\n",
    "train_Xn, mean, std = center_data(train_X)\n",
    "test_Xn, _, _ = center_data(test_X, mean, std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 295,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Eason\\AppData\\Local\\conda\\conda\\envs\\py35\\lib\\site-packages\\skimage\\feature\\_hog.py:119: skimage_deprecation: Default value of `block_norm`==`L1` is deprecated and will be changed to `L2-Hys` in v0.15\n",
      "  'be changed to `L2-Hys` in v0.15', skimage_deprecation)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1000\n",
      "2000\n",
      "3000\n",
      "4000\n",
      "5000\n",
      "6000\n",
      "7000\n",
      "8000\n",
      "9000\n",
      "10000\n",
      "11000\n",
      "12000\n",
      "13000\n",
      "14000\n",
      "15000\n",
      "16000\n",
      "17000\n",
      "18000\n",
      "19000\n",
      "20000\n",
      "21000\n",
      "22000\n",
      "23000\n",
      "24000\n",
      "25000\n",
      "26000\n",
      "27000\n",
      "28000\n",
      "29000\n",
      "30000\n",
      "31000\n",
      "32000\n",
      "33000\n",
      "34000\n",
      "35000\n",
      "36000\n",
      "37000\n",
      "38000\n",
      "39000\n",
      "40000\n",
      "41000\n",
      "42000\n",
      "43000\n",
      "44000\n",
      "45000\n",
      "46000\n",
      "47000\n",
      "48000\n",
      "49000\n",
      "50000\n",
      "51000\n",
      "52000\n",
      "53000\n",
      "54000\n",
      "55000\n",
      "56000\n",
      "57000\n",
      "58000\n",
      "59000\n",
      "60000\n",
      "61000\n",
      "62000\n",
      "63000\n",
      "64000\n",
      "65000\n",
      "66000\n",
      "67000\n",
      "68000\n",
      "69000\n",
      "70000\n",
      "71000\n",
      "72000\n",
      "73000\n",
      "74000\n",
      "75000\n",
      "76000\n",
      "77000\n",
      "78000\n",
      "79000\n",
      "80000\n",
      "81000\n",
      "82000\n",
      "83000\n",
      "84000\n",
      "85000\n",
      "86000\n",
      "87000\n",
      "88000\n",
      "89000\n",
      "90000\n",
      "91000\n",
      "92000\n",
      "93000\n",
      "94000\n",
      "95000\n",
      "96000\n",
      "97000\n",
      "98000\n",
      "99000\n",
      "100000\n",
      "101000\n",
      "102000\n",
      "103000\n",
      "104000\n",
      "105000\n",
      "106000\n",
      "107000\n",
      "108000\n",
      "109000\n",
      "110000\n",
      "111000\n",
      "112000\n",
      "113000\n",
      "114000\n",
      "115000\n",
      "116000\n",
      "117000\n",
      "118000\n",
      "119000\n",
      "120000\n",
      "121000\n",
      "122000\n",
      "123000\n",
      "124000\n",
      "0\n",
      "1000\n",
      "2000\n",
      "3000\n",
      "4000\n",
      "5000\n",
      "6000\n",
      "7000\n",
      "8000\n",
      "9000\n",
      "10000\n",
      "11000\n",
      "12000\n",
      "13000\n",
      "14000\n",
      "15000\n",
      "16000\n",
      "17000\n",
      "18000\n",
      "19000\n",
      "20000\n"
     ]
    }
   ],
   "source": [
    "# HOG feature\n",
    "train_Xhn, mean, std = center_data(hog_feature(train_X))\n",
    "test_Xhn, _, _ = center_data(hog_feature(test_X), mean, std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "nn = neural_network(layer_sizes=[784, 200, 26], step_size=1e-2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch #0\n",
      "  Training Accuracy: 0.708800\n",
      "epoch #1\n",
      "  Training Accuracy: 0.773600\n",
      "epoch #2\n",
      "  Training Accuracy: 0.816500\n",
      "epoch #3\n",
      "  Training Accuracy: 0.849600\n",
      "epoch #4\n",
      "  Training Accuracy: 0.878500\n",
      "epoch #5\n",
      "  Training Accuracy: 0.899800\n",
      "epoch #6\n",
      "  Training Accuracy: 0.915500\n",
      "epoch #7\n",
      "  Training Accuracy: 0.929500\n",
      "epoch #8\n",
      "  Training Accuracy: 0.941700\n",
      "epoch #9\n",
      "  Training Accuracy: 0.952600\n",
      "epoch #10\n",
      "  Training Accuracy: 0.958800\n",
      "epoch #11\n",
      "  Training Accuracy: 0.963800\n",
      "epoch #12\n",
      "  Training Accuracy: 0.968100\n",
      "epoch #13\n",
      "  Training Accuracy: 0.972300\n",
      "epoch #14\n",
      "  Training Accuracy: 0.976500\n",
      "epoch #15\n",
      "  Training Accuracy: 0.979600\n",
      "epoch #16\n",
      "  Training Accuracy: 0.981200\n",
      "epoch #17\n",
      "  Training Accuracy: 0.983500\n",
      "epoch #18\n",
      "  Training Accuracy: 0.984800\n",
      "epoch #19\n",
      "  Training Accuracy: 0.985900\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d8d7e0e2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 5min 24s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "all_loss = nn.train_sgd(train_Xn[:10000, :], train_y[:10000], N_epoch=20)\n",
    "plt.plot(all_loss)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.79334677419354838"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nn.accuracy(train_Xn[100000:, :], train_y[100000:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct:\n",
      "24 24\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d880c5c828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20 20\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQY/3+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d88033e9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "18 18\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIU74Dsce4oTvcOwh/wcnGflDfWiyFgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d880c355f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "23 23\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d8802a5fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15 15\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMeEbxgj5P59Zi4GqlhMhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d880b83e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wrong:\n",
      "2 12\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nPxBYQ4LwA4E15P8rcFZGIJoEjAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d880c872e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14 8\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d881d74f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8 24\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\norTzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d880181c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14 8\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d880263860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15 17\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d880166908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualization\n",
    "validation_y = train_y[100000:]\n",
    "validation_yp = nn.predict(train_Xn[100000:])\n",
    "idx_right, = np.where(validation_y == validation_yp)\n",
    "idx_wrong, = np.where(validation_y != validation_yp)\n",
    "print('Correct:')\n",
    "for i in idx_right[:5]:\n",
    "    print(validation_y[i], validation_yp[i])\n",
    "    view_image(train_X[100000+i, :])\n",
    "print('Wrong:')\n",
    "for i in idx_wrong[:5]:\n",
    "    print(validation_y[i], validation_yp[i])\n",
    "    view_image(train_X[100000+i, :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(124800,)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "16\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD8CAYAAABXXhlaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d880c4db70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "i = 21\n",
    "print(train_y[i])\n",
    "view_image(train_X[i, :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 328,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Written to csv.\n"
     ]
    }
   ],
   "source": [
    "test_y = nn.predict(test_Xhn)\n",
    "df = pd.DataFrame({'Category': test_y})\n",
    "df.index += 1\n",
    "df.index.rename('Id', inplace=True)\n",
    "df.to_csv('data/letters_hog_v1.csv')\n",
    "print('Written to csv.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 296,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAD8CAYAAAC4nHJkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x25c82d25ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12\n"
     ]
    }
   ],
   "source": [
    "i = 10\n",
    "view_image(test_Xhn[i, :])\n",
    "print(test_y[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "Wall time: 23.7 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "nn1 = neural_network()\n",
    "dV = nn1.V\n",
    "dW = nn1.W\n",
    "\n",
    "yv = nn1.vectorize_y(train_y)\n",
    "for epoch in range(5):\n",
    "    print(epoch)\n",
    "    for i in range(10000):\n",
    "        xr = train_Xn[i, :]\n",
    "        yr = yv[i, :]\n",
    "        nn1.V -= 2*dV\n",
    "        nn1.W -= 2*dW"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(124800, 784)"
      ]
     },
     "execution_count": 182,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_Xn.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def test_exp(x):\n",
    "    return np.exp(x)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
